J. Šremr
abstract:
In this paper, we establish new efficient conditions sufficient for the
solvability as well as unique solvability of the Cauchy type problem for
two-dimensional functional differential systems in both linear and nonlinear
cases. The main results are applied in the case where the system considered is
the differential system with argument deviations.
Mathematics Subject Classification: 434K10, 34K06
Key words and phrases: Two-dimensional functional differential system, Cauchy type problem, solvability, unique solvability